Add: (g2 – 4g4 + 5g + 9) + (–3g3 + 3g2 – 6)



Rewrite terms that are subtracted as addition of the opposite.
g2 + (–4g4) + 5g + 9 + (–3g3) + 3g2 + (–6)
Group like terms.
Combine like terms.
Write the resulting polynomial in standard form.

Answers

Answer 1

The resulting polynomial in standard form (b)  –4g^4 –3g³ +4g² +5g +3

What is standard form of a polynomial?

Suppose the considered polynomial is of only one variable.

Then, the standard form of that polynomial is the one in which all the terms with higher exponents are written on left side to those which have lower exponents.

The simplification process is described and partially carried out. We are to finish by combining like terms and writing the result in standard form.

Given

Add: (g² – 4g^4 + 5g + 9) + (–3g³ + 3g² – 6)

Combine Like Terms

g²  + (–4g^4) + 5g + 9 + (–3g³) + 3g²  + (–6)

The like terms are the g² terms and the constants;

= (1 +3)g² + (–4g^4) +5g +(9 +(–6)) +(–3g³)

 = 4g² +(–4g^4) +5g +3 +(–3g³)

Write in Standard Form

In this form, the terms are written in order of decreasing degree.

= –4g^4 –3g³ +4g² +5g +3

Learn more about polynomial here:

https://brainly.com/question/15313798

#SPJ1


Related Questions

What is the degree of the polynomial 2x² 3xy 5y² 2?

Answers

The degree of the given polynomial is 2 because the highest exponent is 2 present in terms 2x^2 or 5y^2.

First, try to understand what is polynomial.

Algebraic expressions called polynomials include coefficients and variables. Indeterminates are another name for variables. For polynomial expressions, we can do mathematical operations like addition, subtraction, multiplication, and positive integer exponents but not division by variables. x^2+ 3x - 5 is an illustration of a polynomial with a single variable. There are three terms in this example: x^2, 3x, and -5.

The word "polynomial" is derived from the Greek words "poly" and "nominal," which combined translate to "many phrases."

Now let's talk about the degree of the polynomial.

The highest exponent of a monomial contained within a polynomial is referred to as the polynomial's degree. As a result, a polynomial equation with one variable having the biggest exponent is referred to as a polynomial degree.

The terms of a given polynomial is 2x^2, 3xy, 5y^2, and 2 Highest exponent is 2 in 2x^2 or 5y^2.

So the degree of the polynomial is 2.

The given Question is an incomplete complete question here.

[tex]2x^2 + 3xy + 5y^2 +2[/tex].

To know more about polynomials here:

https://brainly.com/question/11536910

#SPJ4

URGENT!! 25 POINTS!!!!!

What is the equation shown
by the following graph?

Answers

Answer:

denominator - 6234 is math

Step-by-step explanation:

what is the value of x?

Answers

Answer:119

Step-by-step explanation:

because it's on oppisite sides on the outside

Answer:

C) 119°

------------------------------

The two given two angles are alternate exterior angles and therefore  congruent according to alternate exterior angles theorem:

x = 119°

Definition:

Alternate exterior angles are the pair of angles that are formed on the outer side of the parallel lines but on the opposite side of the transversal.

An approximate solution to an equation is found using this iterative process.

(x, Jº-1

X,+1

and x, = -1

4

Answers

The values of X1, X2 , X3 could be -1 , -0.6 , -0.041600 using the iterative process.

What is iteration ?

iteration can be defined as the repeating itself to perform a particular task.

Given

X2 is when n=1

X2 = X1+1 = X1 ^ 3 - 5/10

because X1 = -1

so X2  = -1-5/10 = -6/10 = -0.6

X3 is when n=2

X3 = X2+1

= X2 ^ 3 -5/10

because X2 = -3/5

so X3 could be

X3 = (-0.6*-0.6*-0.6) - 5 / 10

X3 = -0.041600

Hence, The values of X1, X2 , X3 could be -1 , -0.6 , -0.041600 using the iterative process.

To learn more about iteration from the given link

https://brainly.com/question/29796261

#SPJ4

I NEED HELP PLEASEEE!!!

Answers

If the radius is quadrupled, then the area of the new area to the old area will be 4:1

What is quadrupled?

You should be aware that the quadrupled of a circle is four times the area of the old one.

In this case the area of the circle is denoted by

Area = πr²

Where r= radius=6 cm

The area of the old circle is 22/7 * 6 * 6

Area of the circle is = 113.1cm²

To this effect, the area of the new circle is 4(area of the old one)

Area = 4*22/7 * 6 * 6

Area = 3167/7

Area is = 452.6

This implies that 4(113.2) =452.6

In conclusion, you will discover that four times the area of the new circle is the old circle

Learn more about quadrupled on https://brainly.com/question/7966538

#SPJ1

Which expression is equivalent to (x^2-2x-37)\(x^2-3x-40)

Answers

Therefore , the solution of the given problem of equation comes out to be  [tex]x^{2}[/tex]-2x-37/(x-8) (x+5).

Describe equation.

An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equality of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to express the connection between two phrases on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.

Here,

Given :([tex]x^{2}[/tex]-2x-37)/([tex]x^{2}[/tex]-3x-40)

[tex]x^{2}[/tex]-3x-40

Factor[tex]x^{2}[/tex]-2x-37

[tex]x^{2}[/tex]-2x-37/(x-8) (x+5)

Thus ,

the factors comes out to be [tex]x^{2}[/tex]-2x-37/(x-8) (x+5)

Therefore , the solution of the given problem of equation comes out to be  [tex]x^{2}[/tex]-2x-37/(x-8) (x+5).

To know more about equation visit:

https://brainly.com/question/649785

#SPJ1

Can a/the variable in a algebraic expression be a base?

Answers

Answer:

yes

Step-by-step explanation:

yes

yes

yes

yes

yeyed

yes

Solve for the missing side length in this triangle ​

Answers

Answer: C= 30

Step-by-step explanation:

A^2+B^2=C^2

C= √(B²+A²)

C= √(18²+24²)

C=30

let 24=p
18=b
x=h
then we know that
h^=p^+b^
x^=18^+24^
x^=324+576
x^=900
x=30
so x=30#

Josefina wants to prove that figures d and d are similar.



What seguence of transformation could Josefina perform to prove the figures are similar?

Answers

The left shift required to translate from D to D" is 6 units and scale factor for dilation of D" from D' is 2.5.

What is Scale factor?

The scale factor is a type of measurement which is used to increase or decrease the size of an object keeping its shape as the same. It can be determined by taking the ratio of the new and the original dimension of the object.

Compare the corresponding vertex of the given figures.

It is given as,

(-5, 0) → (1, 0)

It can be concluded that the graph of D is shifted (1 - (-5)) = 6 units towards left.

The scale factor is given as,

Length of side of D" ÷ Length of side of D'

⇒ 10 ÷ 4 = 2.5

Hence, the required shift and the scale factor are obtained as 6 units and 2.5 respectively.

To know more about scale factor click on,

https://brainly.com/question/29464385

#SPJ1

please help: solve for x​

Answers

Answer:

x=3

Step-by-step explanation:

Since the altitude of this triangle is at the midpoint of the base,

It is a isosceles triangle making MJ=MK

9x-18=3x

6x-18=0

6x=18

x=3

Is polynomial Y^4+4Y^2+5 have zeroes or not?

Answers

Yes, polynomial Y^4+4Y^2+5 has zeroes. Its zeroes can be found by factoring or using the quadratic formula: Y = -2 +/- sqrt(4-5) / 2 = -1 +/- sqrt(-1) / 2 = -1 +/- i/2.

[tex]Y^4+4Y^2+5[/tex]

=[tex](Y^2+1)²-3[/tex]

=([tex]\sqrt{Y^2+1-sqrt3}[/tex])([tex]\sqrt{Y^2+1+sqrt3}[/tex])

=(Y+ sqrt3)(Y-sqrt3)(Y+1)(Y-1)

=(Y+ sqrt3)(Y-sqrt3)(Y²-1)

=(Y+ sqrt3)(Y-sqrt3)(Y-1)(Y+1)

=0

Therefore the zeroes are Y=-√3, Y=1, Y=√3, Y=-1

Polynomial Y^4+4Y^2+5 is a fourth degree polynomial equation and can be solved by factoring or using the quadratic formula. To solve this equation by factoring, we need to use the difference of squares method. First, we rewrite the equation as (Y^2+1)²-3. Then we factor out the square of the binomial (Y^2+1): (Y^2+1-sqrt3)(Y^2+1+sqrt3). Next, we expand the first binomial to get (Y+ sqrt3)(Y-sqrt3)(Y+1)(Y-1). Then, we factor out the second binomial from the first two terms to get (Y+ sqrt3)(Y-sqrt3)(Y²-1). Finally, we expand the last binomial to get (Y+ sqrt3)(Y-sqrt3)(Y-1)(Y+1). This results in a product of zero, which means the equation has zeroes. The zeroes are Y=-√3, Y=1, Y=√3, and Y=-1.

Learn more about polynomial here

https://brainly.com/question/11536910

#SPJ4

Find the measure of the exterior angle with 24 degrees
(3x+6) and (2x+18)

Answers

The measure of the exterior angle of the triangle is 114 degrees.

How to find the angles of a triangle?

A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees.

The measure of the exterior angle of the triangle can be found using exterior angle theorem.

Therefore, the exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle.

Hence,

24 + 2x + 18 = 3x + 6

2x - 3x = 6 - 18 - 24

-x = -36

divide both sides of the equation by -1

x = 36

Hence,

exterior angle = 3x + 6 = 3(36) + 6 = 108 + 6 = 114 degrees

learn more on triangles here: https://brainly.com/question/19627424

#SPJ1

there are 32 students who studied maths and 28 geography and 26 social science if there are total 40 students in school if they all studies one subject atleast then find maximum number of students who studied all subjects

Answers

The answer is 6
Because you add 3+3 more if you do so you can add it. So when you get that question just add or multiply the number you are given.

The maximum number of students who studied all subjects is 6.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Total students = 40

Number of students who studied maths = 32

Number of students who studied geography = 28

Number of students who studied social science = 26

The maximum number of students who studied all subjects.

= Highest number of students who studied one subject - Least number of students who studied a subject

= 32 - 26

= 6

Thus,

6 is the maximum number of students who studied all subjects.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ1

For a hypothesis test of H0: p = 0. 65 against the alternative Ha: p < 0. 65, the z test statistic is found to be -2. 35. What can be said about his finding?

Answers

The finding is significant at both α = 0.05 and α = 0.01.

What is hypothesis ?

A hypothesis (plural: hypotheses), in a scientific context, is a testable statement about the relationship between two or more variables or a proposed explanation for some observed phenomenon.

Have given ,

H0: p = 0. 65 ,  Ha: p < 0. 65 and  the z test statistic is found to be -2. 35.

From the test statistic value, we can obtain the p value of the test ,

To determine if the claim is significant at both α = 0.05 and α = 0.01

We compare the Z statistic and Z critical values

If Z statistic < Z critical ; then we reject H0; if otherwise, we fail to reject H0

Z critical at 95% one tailed = - 1.645 (left tail)

Z critical at 95% one tailed = -2.326 (left tail)

- 2.35 < - 1.645

-2. 35 < 2.326

Since, Z statistic < Z critical;

The finding is significant at both α = 0.05 and α = 0.01.

To learn more about hypothesis visit : brainly.com/question/29519577

#SPJ4

Find the equation of the linear function represented by the table below in slope-intercept form.

Answers

y = 3x+4 ← equation of linear function.

What is a straight line?

A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined both sides of a point and has no curve.

Here, we have,

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = y_2-y_1/x_2-x_1

with (x₁, y₁ ) = (- 3, - 5) and (x₂, y₂ ) = (1, 7) ← 2 ordered pairs from the table

m = 7+5/1+3

  =12/4

   = 3 ,

So, y = 3x + c ← is the partial equation

To find c substitute any ordered pair from the table into the partial equation

Using (1, 7 ), we get,

7= 3 + c

⇒ c = 7-3

      = 4

Hence, y = 3x+4 ← equation of linear function

To learn more on Equation 0f Straight-Line click:

brainly.com/question/11116168

#SPJ1

What is the domain and range of √ X 2?

Answers

The domain of √ X  2 is X ≥ 4. The range is all real numbers.

Here is the proof, In order for the square root to be defined, the radicand (the value inside the square root symbol) must be greater than or equal to zero. In this case, the radicand is X - 2, so we must have X - 2 ≥ 0, which is equivalent to X ≥ 4. Therefore, the domain of √ X - 2 is all values of X that are greater than or equal to 4. The range of √ X - 2 is all real numbers because the square root of any non-negative value is a real number.

Learn more about Domain and Range here:

https://brainly.com/question/2264373

#SPJ4

What are the 3 steps to solving an equation?

Answers

Following are three steps 1. Isolate the variable: First, identify the variable you are trying to solve for and use the other terms in the equation to isolate that variable. This means using inverse operations to move any terms containing the variable to one side of the equation and any terms without the variable to the other side of the equation.

2. Simplify the equation: Once the variable is isolated, use the properties of equality and inverse operations to simplify the equation, if needed.

3. Solve the equation: Finally, use the inverse operations to solve the equation and find the value of the variable.

To know more about equation here

https://brainly.com/question/30187464

#SPJ4

Which ratio forms a probation with 18/30
=20/35
=50/90
=36/46
=60/100

Answers

Answer:

Which ratio forms a probation with 18/30

=20/35

=50/90

=36/46

=60/100

Step-by-step explanation:

Work out the area of this shape. Give your answer
in cm².



4 cm
4 cm
10 cm

Answers

Answer:

48cm^2

Step-by-step explanation:

Rectangle=LxW

Triangle=bh/2

Rectangle: 10x4=40cm^2

Triangle: 4x4=16/2=8cm^2

40+8=48cm^2

Hope this helps :)

How many times would you expect to roll a 5 if you rolled a fair die 1,300 times? Round your answer, if needed.

A.
0.1667

B.
1,083

C.
217

D.
95

Answers

Answer: C, 217

Step-by-step explanation:

A circular mirror is surrounded by a square metal frame. The radius of the mirror is 3x. The side length of the metal frame is 15x. What is the area of the metal frame? (Type your answer in factored form. Type an exact answer in terms of pi.


The area of the frame is __ square units

Answers

The area of the frame is 196.73 x²

What is area ?

The size of a patch on a surface is determined by its area. Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a form or planar lamina.

The region that an object's shape defines as its area. The area of a figure or any other two-dimensional geometric shape in a plane is how much space it occupies.

Area is a phrase used to describe how much room a 2D form or surface occupies. Area is measured in square units, such as cm2 or m2. The area of a form is computed by dividing its length by its breadth.

(15x)^2 = 225x^2

Area of the frame

= π (3x)²

= 28.27 x²

Metal area surrounding the frame

225 x² - 28.27 x²

= 196.73 x²

To learn more about area from the given link

https://brainly.com/question/25292087

#SPJ4

What is the x-coordinate of the solution to the system shown?

3x - y = 6
3x + y = 34

Answers

Answer:

6[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

In this equation I will do the elimination method.

3x-y=6

3x+y=34

6x=40

Simplify

x=6[tex]\frac{2}{3}[/tex].

Check:

3(6.666...)-y=6

20-y=6

-20 from 6

-y=-14

y=14

20-14=6

6=6

3x(6.666...)+y=34

20+14=34

34=34

To begin, we can convert the equations into slope-intercept form:

3x - y = 6 → y = 3x - 6

3x + y = 34 → y = -3x + 34

Next, we plug it in to become an equation with variables on both sides:

3x - 6 = -3x + 34

→ 6x - 6 = 34

→ 6x = 40

→ x = 6 2/3 OR 6.66666

Write −0.39¯¯¯¯¯ as a fraction in simplest form.

Answers

Answer:

-0.3999... = -⅖

-0.393939... = -13/33

Step-by-step explanation:

Only ones I could think of.

Answer:

-39/100

Step-by-step explanation:

When two rotations are performed on a single figure, does the order of the rotations sometimes, always, or never affect the location of the final image? Explain.

Answers

When two rotations are performed on a single figure, the order of the rotations never affect the location of the final image.

What is the rotation?

In mathematics, rotation is defined as that of the circular movement of an object around with a center, an axis, or a fixed point. Since rotations are rigid transformations, the size, length, shape, and angle measurements of the figure are maintained.

Precession, nutation, and intrinsic rotation are the names of these rotations. The rotation of the earth on its axis is one of the greatest instances of rotation in nature.

There are broad guidelines for rotations of 90, 180, and 270 degrees around the origin that are both clockwise and anticlockwise. Counterclockwise. X and Y are rotated by 90 degrees that means (x , y) ----> (-y , x); Rotation of 180 degrees: (x, y) —- (-x , -y); Rotation of 270 degrees: (x, y) —- (y , -x).

Here two times rotation means 180 degrees that means no change in the final image.

To know more about rotations refer to:

https://brainly.com/question/26249005

#SPJ1

Factor out the greatest common factor. If the greatest common factor is 1, just retype the
polynomial.
20q ^10 - 10q⁹+ 30q^8 + 20q^7

Answers

The greatest common factor of 20q¹⁰ - 10q⁹ + 30q⁸ + 20q⁷ is 10q⁷.

What is the greatest common factor?

The GCF stands for greatest common factor. In this case, greatest can be changed to highest, and factor to divisor. The highest common factor is often referred to as the biggest common factor, highest common factor, or highest common divisor (GCD).

The largest number among all the common factors of the given numbers is known as the GCF (Greatest Common Factor) of two or more numbers. The greatest integer that may be used to divide two natural numbers x and y without producing any remainders is called their GCF. There are three main methods for calculating GCF: division, multiplication, and prime factorization.

the factor of 20q¹⁰ is 2*2*5*q*q*q*q*q*q*q*q*q*q

the factor of 10q⁹ is 2*5*q*q*q*q*q*q*q*q*q

the factor of 30q⁸ is 2*3*5*q*q*q*q*q*q*q*q

the factor of 20q⁷ is 2*2*5*q*q*q*q*q*q*q

So that the common factor of all the above terms is 2*5*q*q*q*q*q*q*q

the common factor of all the above terms= 10q⁷

So that the greatest common factor of 20q¹⁰ - 10q⁹ + 30q⁸ + 20q⁷ is 10q⁷.

To learn more about greatest common factors visit:

brainly.com/question/11221202

#SPJ1

Are 5x and 5 like terms?

Answers

The statement given here is true as 5x and 5 are like terms.

This is because like terms have the variables of same degree . Therefore, 5x and x are like terms as both of them have x to the power 1 , which means both are of degree 1.

Like terms differs from the unlike terms only in case of numerical component.  By summing the coefficients of  like terms , similar phrases can be regrouped. Like terms in a polynomial equation are those terms  that have the same variables and these variables have the same powers, but with different coefficients.

To learn more about like terms

brainly.com/question/29169167

#SPJ4

Peggy completed 5/6 of the math homework and Al completed 4/5 of the homework. Did Peggy or Al complete more hoof the math homework?

Answers

Peggy completed more of the math homework than Al

What does division of fractions mean?

A fraction is divided into additional equal pieces when it is divided into fractions. For instance, if you had three-fourths of a pizza remaining and divided each slice into two pieces, you would have received six slices, which would be equivalent to six-eighths of the entire pizza.

we know that

In order to be able to compare fractions more easily it is recommended that both have the same denominator

Peggy

5/6 x 5 = 25/30

Al

4/5 x 6 = 24/30

Peggy completed more of the math homework

To learn more about the division of fractions from the given link

https://brainly.com/question/1622425

#SPJ4

If the original price is 125 pesos and the rate of discount is 25%, how much is the discount? with solution

Answers

Answer:

31.25

Step-by-step explanation:

25% * 125 = 25/100 * 125 = 1/4 * 125 = 31.25

Which is the product of [tex]\frac{7}{9\\}[/tex] and 6?
( 100 POINTS )

Answers

Answer:

[tex] \sf \: \frac{14}{3} [/tex]

Step-by-step explanation:

Given problem,

[tex] \sf \rightarrow \: \frac{7}{9} \times 6[/tex]

Let's solve the problem,

[tex] \sf \rightarrow \: \frac{7}{9} \times 6[/tex]

[tex] \sf \rightarrow \: \frac{(7 \times 6)}{9} [/tex]

[tex] \sf \rightarrow \: \frac{42}{9} [/tex]

[tex] \sf \rightarrow \: \frac{14}{3} [/tex]

Hence, the product is 14/3.

560Steve can paint his greenhouse in four hours working alone; his ten-year-old son can paint the greenhouse alone in nine hours. Working together, how long, to the nearest minute, would it take them

Answers

By working together, they can make the work done in two hours and forty-six minutes.

How do you calculate work done together?The equation below may be used to compute work: Work is equal to force times distance. The Newton metre is the SI unit of work (N m). When an item is moved across a distance of 1 m with 1 N of force, one joule is equal to the amount of work that is accomplished.Every time a force pushes anything over a distance, work is done. By multiplying the force by the distance travelled in the direction of the force, you may determine the amount of energy transferred, or work done.Therefore, the formula for work is W = F d s, which stands for work done equal to force times displacement.

Given data :

Think of these work rates as "greenhouses per hour", not "hours per greenhouse". Then Steve's work rate is one fourth of a greenhouse per hour, and his son's is one ninth of a greenhouse per hour. Now, multiply each rate by the time t to get the portion of the greenhouse each paints, and add the products up to get one greenhouse. The work equation becomes:

1 / 4 t + 1 / 9 t = 1

9 / 36 . t + 4 / 36 t = 1

13 / 36 t = 1

36 / 13. 13 / 36 t  = 36 / 13 .1

t = 36 / 13 hrs

or 36 / 13. 60 = 166 min

This is two hours and forty-six minutes.

Learn more about how to find work refer to :

https://brainly.com/question/25573309

#SPJ4

Other Questions
Select the correct answer. Which logarithmic equation is equivalent to this exponential equation? 2,400=7,500 (10) ^ -x What is corporate conscience What did Mr Guest discover about Jekyll and Hyde's handwriting? Find two consecutive odd numbers such that the difference between their reciprocals is 2/99.note (the answer key said 9 and 11 and after testing it, it was correct, but I don't know how to get that answer)Note (the chapter name is fractional equations, so they want us to make an equation and solve it) A student placed four magnets of equal size and mass each the same distance from an electromagnet. She turned the electromagnet on and then quickly turned it off. The diagram below shows how far each magnet traveled toward the electromagnet when the circuit was closed.four magnets near an electromagnetWhat is the order of the magnets by strength from strongest to weakest?magnet Wmagnet Xmagnet Ymagnet Z You have to put them in order Northlake High School has two lunch periods. Students can eat their lunch in the cafeteria or on an outside patio. About 35% of students who have first lunch eat outside. Compare this with the percentage of second-lunch students who eat outside. Select the true statement. A. A smaller percentage of second-lunch students (24%) eat outside. B. A greater percentage of second-lunch students (39%) eat outside. c. A greater percentage of second-lunch students (41%) eat outside. D. A smaller percentage of second-lunch students (18%) eat outside. A / P / E / X HELPWhich of the following is not true of how you should give directions to a visitor or guest? You should create a mental picture of the entire route in your mind and picture yourself walking or driving it along with the guest. You should give a travel time estimate for the whole trip from start to finish instead of from landmark to landmark, since that gets confusing. You should give your guest the simplest route, not the quickest, because you don't want them to get lost along the way. You should ask the customer to repeat the directions back to you so you can make sure they have understood them properly. the air in a kitchen has pressure 1.0 x 10^5 Pa and temperature 22C. A refrigerator of internal volume 0.36 m^3 is installed in the kitchen. with the door open the air in the refrigerator is initially at the same temperature and pressure as the air in the kitchen. calculate the number of molecules of air in the refrigerator What law explains how alleles are separated during meiosis? If employees do not honestly communicate about business issues, it can lead to Multiple choice question. poor financial performance. enhanced self-interest. transparent workplaces. greater personal values. Hitler called himself the __________ and wanted to ________________. Our easy acceptance today of the notion that the study of individual differences is appropriate subject matter for psychology is due to whose work What are the properties of the graph of a function? Two objects are described below.Thing 1: It has a mass measured by a pan balance.Thing 2: It takes the shape of a container.Which statement is true?O Both objects are matter.O Both objects are non-matter.O The first object is matter, and the second object is non-matter.The first object is non-matter, and the second object is matter. Data was collected for 40 randomly selected honey bee hives on a farm: The number of parasites found in each hive was recorded: The data is summarized in the histogram below. 10 [ 10 15 20 25 30 35 40 45 50 parasites in hive What is the maximum possible number of parasites for the class containing the value 27? Note: Each class contains its lower class boundary, but not its upper class boundary. maximum = There is something in the unselfish and self-sacrificing love of a brute, which goes directly to the heart of him who has had frequent occasion to test the paltry friendship and gossamer fidelity of mere Man. Which phrases from this excerpt support the narrator's distrust of human beings? Select all that apply. "unselfish and self-sacrificing" "love of a brute" "directly to the heart" "frequent occasion" "paltry friendship" "gossamer fidelity" What effect of the Great Depression is describing the song Brother Can You Spare a Dime? Evaluate the expression 5(x 6 + 3x)2 6 where x = 2. Answers: 1: 974 2: 14 3: -16 4: 26 Use the drop-down menus to identify each underlined verb form as a participle, gerund, or infinitive.Climbing a rope is not as difficult as you might think. You decide to take a hot air balloon ride and remember to take binoculars to look around while you are airborne. As the balloon rises, you use a GPS to determine your height in meters, h, and the distance in kilometers, d, to the farthest object that you can see. The table below shows the two measurements. Height in meters 15 30 45 60 75 90 105Distance in kilometers 13.833 19.562 23.959 27.665 30.931 33.833 36.5981. Determine a function that could be used to model the data in the table.Make sure to use h for height and d for distance. 2. If the balloon is 800 meters high, what is the farthest distance that you would be able to see? Round answer to the nearest whole number3. What type of function best models the data in the table?4. A building is 16km away. What height does the balloon have to rise for the building to be visible. Round the answer to nearest whole number.